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Compound probability density function of random variables ? and ? ??, ? (?, ?) = (6/7...

Compound probability density function of random variables ? and ?
??, ? (?, ?) = (6/7 (? * y + (? * ?) / 2), 0 <? <2, 0 <? <1?, other
It is given as. According to this
(a) Show that this function is a probability density function.
(b) Find the marginal probability density function of ?.
(c) Calculate the probability ? {?> ?}.
(d) Find the expected value of ? [?].

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